2190100 has 54 divisors (see below), whose sum is σ = 5252702. Its totient is φ = 792000.

The previous prime is 2190091. The next prime is 2190103. The reversal of 2190100 is 10912.

It can be written as a sum of positive squares in 3 ways, for example, as 17424 + 2172676 = 132^2 + 1474^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2190103) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 12010 + ... + 12190.

2^2190100 is an apocalyptic number.

2190100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2190100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2626351).

2190100 is an abundant number, since it is smaller than the sum of its proper divisors (3062602).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2190100 is a wasteful number, since it uses less digits than its factorization.

2190100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 13.

The square root of 2190100 is about 1479.8986451781. The cubic root of 2190100 is about 129.8637626013.

The spelling of 2190100 in words is "two million, one hundred ninety thousand, one hundred".